Numbers 870,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

[1M] & [10M] & [100M- [200M] - [300M] - [400M] - [500M] - [600M] - [700M] - [800M] - [900M]  & [1B]

1  - 10 - 100  - 1000 - 10,000 - 100,000 - 1M - 10M - 100M1B10B - 100B - 1T - 10T - 100T - 1Q ...

876,543,209

[Math.]  Multiples of 012345679 by 8, 17, 26, 35, 44, 53, 62, 71 and 80 will yield all 9 rotations of the number 098765432: 098765432, 209876543, 320987654, 432098765, 543209876, 654320987, 765432098, 876543209 and 987654320. All numbers are missing digit 1.

878,885,316

[Math.]  Sum of the first 243 cube numbers:

13+23+…+2433 = 878,885,316 = (1+2+…+243)2 = 29,6462.

879,999,912

[Math.]

(*)   8712 = 2178×4 & 8712×2178 = 18,974,736 = 43562 (= 664)

8712…8712 = 2178…2178×4 & 8712…8712×2178…2178 = 4356…43562.

(**)   87912 = 21978×4 & 21978×87912 = 1,932,129,936 = 439562

87912…87912 = 21978…21978×4 & 21978…21978×87912…87912 = 43956…439562.

(***)   879999912 = 219999978×4 & 219999978×879999912 = 4399999562

879999912…879999912 = 219999978…219999978×4 &

219999978…219999978×879999912…879999912 = 439999956…4399999562.

(****)   879…912 = 219…978×4 & 219…978×879…912 = 439…9562

879…912…879…912 = 219…978…219…978×4 &

219...978...219...978×879...912...879...912 = 439...956...439...9562.

...

xyz,abc,def

[Math.]  For any xyz = 100 to 999, there are always six 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 6 digit-rotations of 142,857 and the number  xyz,abc,def is a multiple of 142,857.

For any xyz = 100 to 999, there are always twelve 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number xyz,abc,def is a multiple of 76,923.